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Solve the equation 2x^2 - 10x + 35 = x^2 + 10.

 Jun 23, 2020
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Move the terms around so we have a quadratic equation.

 

2x210x+35=x2+10x210x25=0

 

Now we can simply solve for x using the quadratic formula. Let a=1, b=-10, and c=-25.

 

x=b±b24ac2ax=10±(10)24(1)(25)2(1)x=10±2002x=10±1022x=5±52

 

So x is 5+2 and 52.

 Jun 23, 2020

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